Semi-Classical Analysis for the Schrödinger Operator and Applications
Bernard Helffer
Broschiertes Buch

Semi-Classical Analysis for the Schrödinger Operator and Applications

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This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. cons...